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How do you simplify tan ( - 35° ) using trigonometric identities?

Aniket Singh , 6 Months ago
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Askiitians Tutor Team

To simplify tan(-35°) using trigonometric identities, we can utilize the property of the tangent function related to negative angles.

Understanding the Tangent Function

The tangent function has a specific identity for negative angles:

  • tan(-θ) = -tan(θ)

Applying the Identity

Using this identity, we can rewrite tan(-35°) as follows:

tan(-35°) = -tan(35°)

Final Result

Thus, the simplified form of tan(-35°) is:

-tan(35°)

This shows that the tangent of a negative angle is simply the negative of the tangent of the corresponding positive angle.

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